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2 years ago

What is the median of the following numbers? 4,9,6,3,4,2

Mathematics

2 answers:

Ber [7]2 years ago

8 0

Answer:4

Step-by-step explanation:

evablogger [386]2 years ago

5 0

Answer: 4

Finding the median essentially involves finding the value in a data sample that has a physical location between the rest of the numbers.

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Suppose Johnny invests $41,745 into an account, which has been earning interest for many years and he now has a total of $39,974

Tcecarenko [31]

The interest means the amount that adds up to your previous capital that you invest in the past. If you invest an amount of money and get an interest revenue out of it, the amount of your capital will be increased, not decreased.

7 0

2 years ago

A probability calculator is required on this problem; answer to six decimal places. Suppose we will spin the wheel pictured 400

KiRa [710]

Answer:

$P(90< X< 110)= P(\frac{90-80}{8}$

And we can find this probability with this difference:

$P(90< X< 110)=P(z$

And we can find the real value with the following excel code using the binomial distribution:

"=BINOM.DIST(110,400,0.2,TRUE)-BINOM.DIST(89,400,0.2,TRUE)"

And we got 0.118 a very close value from the value obtained using the normal approximation

Step-by-step explanation:

Previous concepts

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

Let X the random variable of interest, on this case we now that:

$X \sim Binom(n=400, p=0.2)$

The probability mass function for the Binomial distribution is given as:

$P(X)=(nCx)(p)^x (1-p)^{n-x}$

Where (nCx) means combinatory and it's given by this formula:

$nCx=\frac{n!}{(n-x)! x!}$

We need to check the conditions in order to use the normal approximation.

$np=400*0.2=80 \geq 10$

$n(1-p)=400*(1-0.2)=320 \geq 10$

So we see that we satisfy the conditions and then we can apply the approximation.

If we appply the approximation the new mean and standard deviation are:

$E(X)=np=400*0.2=80$

$\sigma=\sqrt{np(1-p)}=\sqrt{400*0.2(1-0.2)}=8$

So then we can approximate the random variable as $X \sim N(\mu = 80, \sigma = 8)$

And we want this probability:

$P(90< X< 110)$

We can use the z score formula given by:

$z = \frac{x -\mu}{\sigma}$

And replacing we got:

$P(90< X< 110)= P(\frac{90-80}{8}$

And we can find this probability with this difference:

$P(90< X< 110)=P(z$

And we can find the real value with the following excel code using the binomial distribution:

"=BINOM.DIST(110,400,0.2,TRUE)-BINOM.DIST(89,400,0.2,TRUE)"

And we got 0.118 a very close value from the value obtained using the normal approximation

8 0

2 years ago

Liz is buying a home for $426,000. She is making a 22% down payment and financing the rest with a 20-year loan at 5.25% interest

olga55 [171]

Answer:

<em><u>$869,776</u></em>

Explanation:

<u>1. Mortgage table</u>

Find attached a sample of a mortgage table per 1,000 dollars borrowed.

You have to use the number in the intersection of the row for 5.25% interest and the column for 20 years.

The number is $6.74.

That means that, for every $1,000 borrowed for 20 years at 5.25% interest you will pay $6.74 every month.

<u>2. Amount borrowed</u>

You will make a 22% down payment:

$22\%\times \$ 426,000=\$ 93,720$

Thus the amount borrowed is $426,000 - $93,720 = $332,280

<u>3. Monthly payment</u>

Multiply the monthly payment per 1,000 by the amount borrowed divided by 1,000:

$\$ 6.74\times 322,280/1,000=\$ 2,239.57$

<u />

<u>4. Total monthly payments:</u>

Multiply the number of payments by the monthly payment.

Number of payments = 20 years × 12 payments /year = 240 payments.

$\$ 2,239.57\times 240=\$ 537,496.13$

<u>5. Total payment for the home.</u>

The total payment for the home will be the down payment plus the amount paid to the bank:

$322,280 + $537,496 = $869,776

6 0

2 years ago

Read 2 more answers

In 1995, the total box office in U.S movie theaters was about $5.02 billion. From 1995 through 2008, the box office revenue incr

soldier1979 [14.2K]

Answer:

1.06 x $10^{10}$ (3sf)

Step-by-step explanation:

using compound interest formula A = P $(1+\frac{R}{100}) ^{n}$

from 95 to 08 is 13 yrs

Total Revenue = (5.02 x $10^{9}$ ) $(1 + \frac{5.9}{100}) ^{13}$ = 1.057 x $10^{10}$

6 0

2 years ago

The ballpark made a total of $15,000 from ticket sales at Wednesday's game. The ballpark charges $20 for each adult ticket and $

IRISSAK [1]

<h3>Answer:</h3>

equations

20a +10c = 15000
c = 3a

solution

300 adult
900 children's

<h3>Step-by-step explanation:</h3>

Let "a" and "c" represent the numbers of adult and children's tickets sold, respectively. The problem statement tells us two relationships between these values:

... 20a +10c = 15000 . . . . . . total revenue from ticket sales

... c = 3a . . . . . . . . . . . . . . . . relationship between numbers of tickets sold

Using the expression for c, we can substitute into the first equation to get ...

... 20a +10(3a) = 15000

... 50a = 15000

... a = 15000/50 = 300 . . . . . adult tickets sold

... c = 3·300 = 900 . . . . . children's tickets sold

8 0

2 years ago

What is the median of the following numbers? 4,9,6,3,4,2​

What is the median of the following numbers? 4,9,6,3,4,2